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Phase Transitions: Melting and Freezing02:39

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Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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Phase-field-based lattice Boltzmann method for containerless freezing.

Jiangxu Huang1, Lei Wang2, Zhenhua Chai1,3,4

  • 1School of Mathematics and Statistics, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan 430074, China.

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A new phase-field model and lattice Boltzmann method simulate containerless freezing, accurately predicting droplet solidification and bubble effects. This approach enhances understanding of phase change phenomena in multiphase systems.

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Area of Science:

  • Computational physics
  • Materials science
  • Fluid dynamics

Background:

  • Containerless freezing involves complex phase change phenomena.
  • Accurate simulation of liquid-solid phase transitions is crucial for materials processing.
  • Existing models may not fully capture density changes during solidification.

Purpose of the Study:

  • To develop a phase-field model for containerless freezing considering volume changes.
  • To create a phase-field-based lattice Boltzmann (LB) method for simulating multiphase solidification.
  • To investigate the influence of physical parameters on sessile droplet solidification.

Main Methods:

  • A phase-field model incorporating a mass source term for density changes.
  • Development of a phase-field-based lattice Boltzmann method.
  • Validation through simulations of conduction-induced freezing, Stefan problem, droplet solidification, and rising bubbles.

Main Results:

  • The developed LB method accurately simulates various freezing problems.
  • Numerical results align with analytical and experimental data.
  • Parametric study shows solidification time increases with droplet volume and contact angle.

Conclusions:

  • The proposed phase-field model and LB method are effective for simulating containerless freezing.
  • The method accurately captures the impact of bubbles on solidification.
  • Understanding parameter influences aids in controlling droplet solidification processes.